The Second Handbook of Research on the Psychology of Mathematics Education : The Journey Continues

"Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group's 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education"- - Springer Front Matter....Pages i-xxiv Front Matter....Pages 1-1 Generalization, Covariation, Functions, and Calculus....Pages 3-38 On Numbers: Concepts, Operations, and Structure....Pages 39-71 Research on the Learning and Teaching of Algebra....Pages 73-108 Research on the Teaching and Learning of Geometry....Pages 109-149 Front Matter....Pages 151-151 Curriculum and Assessment....Pages 153-185 Developmental, Sociocultural, Semiotic, and Affect Approaches to the Study of Concepts and Conceptual Development....Pages 187-233 Digital Technology in Mathematics Teaching and Learning....Pages 235-274 Language in Mathematics Education Research....Pages 275-313 Proof and Argumentation in Mathematics Education Research....Pages 315-351 Recent Advances in Research on Problem Solving and Problem Posing....Pages 353-382 Reflections on Progress in Mathematical Modelling Research....Pages 383-413 Front Matter....Pages 415-415 Research on Mathematics-Related Affect....Pages 417-446 Tracing the Socio-Cultural-Political Axis In Understanding Mathematics Education....Pages 447-479 Front Matter....Pages 481-481 Pre-Service and In-Service Mathematics Teachers’ Knowledge and Professional Development....Pages 483-520 Back Matter....Pages 521-558